Joseph P. Davies

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All published works

Action	Title	Year	Authors
+	Navier–Stokes Blowup Rates in Certain Besov Spaces Whose Regularity Exceeds the Critical Value by ${\boldsymbol{\epsilon \in [1,2]}}$	2023	Joseph P. Davies Gabriel S. Koch
+	Navier-Stokes blow-up rates in certain Besov spaces whose regularity exceeds the critical value by $\boldsymbol{ε\in [1,2]}$	2022	Joseph P. Davies Gabriel S. Koch
+	Properties of Navier-Stokes mild solutions in sub-critical Besov spaces whose regularity exceeds the critical value by $\boldsymbol{ε\in(0,1)}$	2022	Joseph P. Davies Gabriel S. Koch
+	An extension to Lorentz spaces of the Prodi-Serrin weak-strong uniqueness criterion for the Navier-Stokes equations	2021	Joseph P. Davies Gabriel S. Koch
+	Local well-posedness and blowup rates for the Navier-Stokes equations in subcritical Lorentz spaces	2021	Joseph P. Davies Gabriel S. Koch
+	Properties of Navier-Stokes mild solutions with initial data in subcritical Lorentz spaces	2021	Joseph P. Davies Gabriel S. Koch
+	Notions of solution and weak-strong uniqueness criteria for the Navier-Stokes equations in Lorentz spaces	2021	Joseph P. Davies Gabriel S. Koch

Common Coauthors

Coauthor	Papers Together
Gabriel S. Koch	7

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Leray’s fundamental work on the Navier–Stokes equations: a modern review of “Sur le mouvement d’un liquide visqueux emplissant l’espace”	2018	Charles Fefferman James C. Robinson José L. Rodrigo	2
+ PDF Chat	A local smoothness criterion for solutions of the 3D Navier-Stokes equations	2014	James C. Robinson Witold Sadowski	2
+	On the motion of a viscous liquid filling space	2016	J. P. Leray Robert Terrell	2
+ PDF Chat	Lower Bounds on Blowing-Up Solutions of the Three-Dimensional Navier--Stokes Equations in $\dot H^{3/2}$, $\dot H^{5/2}$, and $\dot B^{5/2}_{2,1}$	2016	David S. McCormick Eric J. Olson James C. Robinson José L. Rodrigo Alejandro Vidal–López Yi Zhou	2
+	Lower bounds on blow up solutions of the three-dimensional Navier–Stokes equations in homogeneous Sobolev spaces	2012	James C. Robinson Witold Sadowski da Silva	2
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	1
+	StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions	1984	Tosio Kato	1
+	Un teorema di unicità per le equazioni di Navier-Stokes	1959	G. A. Prodi	1
+	Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system	1986	Yoshikazu Giga	1
+	On lower bounds for possible blow-up solutions to the periodic Navier-Stokes equation	2014	Jean C. Cortissoz Julio A. Montero Carlos E. Pinilla	1
+	Partial regularity of suitable weak solutions of the navier‐stokes equations	1982	Luis Caffarelli Robert V. Kohn Louis Nirenberg	1
+	On the blow-up criterion of 3D Navier–Stokes equations	2010	Jamel Benameur	1
+ PDF Chat	On the Local Smoothness of Solutions of the Navier–Stokes Equations	2006	Hongjie Dong Dapeng Du	1
+ PDF Chat	Uniqueness Results for Weak Leray–Hopf Solutions of the Navier–Stokes System with Initial Values in Critical Spaces	2017	Tobias Barker	1
+ PDF Chat	Lower Bounds for Possible Singular Solutions for the Navier–Stokes and Euler Equations Revisited	2016	Jean C. Cortissoz Julio A. Montero	1
+	$$\varepsilon $$-Regularity criteria for the 3D Navier–Stokes equations in Lorentz spaces	2020	Yanqing Wang Wei Wei Huan Yu	1
+ PDF Chat	Lower bounds of potential blow-up solutions of the three-dimensional Navier-Stokes equations in Ḣ32	2016	Alexey Cheskidov Karen Zaya	1
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	1
+	Local well-posedness and blowup rates for the Navier-Stokes equations in subcritical Lorentz spaces	2021	Joseph P. Davies Gabriel S. Koch	1
+	Interpolation of Operators	1988	Curtis D. Bennett M Sharpley	1
+	Functional Analysis, Sobolev Spaces and Partial Differential Equations	2010	Haı̈m Brezis	1
+	Fourier Analysis and Nonlinear Partial Differential Equations	2011	Hajer Bahouri Jean-Yves Chemin Raphaël Danchin	1
+	Partial Differential Equations	2010	Lawrence Evans	1